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A liquid of density rho flows along a horizontal pipe of uniform cross - section A with a velocity v through a righ angled bend as shown in fig. What force has to be exerted at the bend to hold the pipe in equilibrium ?

Answer» <html><body><p></p>Solution :Change in momentum of mass `Delta m` of liquid as it passes through the bend<br/>`Delta p = P_(f)-P_(i)`<br/>`= Delta <a href="https://interviewquestions.tuteehub.com/tag/mv-1082193" style="font-weight:bold;" target="_blank" title="Click to know more about MV">MV</a> sqrt(2)`<br/>`F = (Delta P)/(Delta t)=(sqrt(2))v(Delta m)/(Delta t) , [as Delta m = <a href="https://interviewquestions.tuteehub.com/tag/rho-623364" style="font-weight:bold;" target="_blank" title="Click to know more about RHO">RHO</a> A Delta <a href="https://interviewquestions.tuteehub.com/tag/l-535906" style="font-weight:bold;" target="_blank" title="Click to know more about L">L</a>]`<br/>`F = sqrt(2)v ((rho.A Delta L))/(Delta t), [as Delta L//Delta t=v]`<br/>`F = sqrt(2)rho A v^(2)`<br/>`therefore` So the force to be applied at the bend to hold it in position is `sqrt(2)rho Av^(2)` in the <a href="https://interviewquestions.tuteehub.com/tag/direction-1696" style="font-weight:bold;" target="_blank" title="Click to know more about DIRECTION">DIRECTION</a> as shown in fig. (Otherwise pipe will move in opposite direction.).<br/><img src="https://doubtnut-static.s.llnwi.net/static/physics_images/AKS_NEO_CAO_PHY_XI_V01_MP1_C05_SLV_018_S01.png" width="80%"/></body></html>


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